Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: selections of multifunctions

Sortuj według:

Ogranicz wyniki do:

Stability properties of monomial functions

Budzik D.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2002

[Z] 42(2)

183-198

A map M defined on a semigroup (group, Banach space etc.) S and taking values in an Abelian group is called monomial of degree at most n whenever Δny M (x) = n!M (y), where Δny stands for the n-th iterate of the usual difference operator Δy. We are looking for conditions upon a map F from S into a real normed linear space, controlled by ƒ in the sense that || n!F (y) - Δny F(x) || ≤ n!ƒ (y) - Δny ƒ(x), to be uniformly approximated by monomial mapping of degree at most n.